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Finding the Fourth Proportional to 13,756.63, 18,984.37 and 7,469

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Solution

The fourth proportional to 13,756.63, 18,984.37 and 7,469 is: 10,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.63 : 18,984.37 = 7,469 : x
  2. Step 2: Convert to fraction form
    13,756.63/18,984.37 = 7,469/x
  3. Step 3: Cross multiply
    13,756.63x = 18,984.37 × 7,469
  4. Step 4: Simplify right side
    13,756.63x = 141,794,259.53
  5. Step 5: Solve for x
    x = 141,794,259.53/13,756.63
  6. Step 6: Final answer
    x = 10,307.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.